Word Finder - divergence

definition

The degree to which two or more things diverge.

example

An angle is made by the divergence of straight lines.

definition

The operator which maps a function F=(F1, ... Fn) from a n-dimensional vector space to itself to the number \sum_{i=1}^n \frac{\partial F_i}{\partial x_i}

definition

Disagreement; difference

definition

The process in which two or more populations accumulate genetic changes (mutations) through time.

In some passages, however, the divergence is on a larger scale.

But their constitution is not yet solved, there even being some divergence of opinion as to their empirical formulae.

In all the above cases there is no divergence among the MSS.

All modern theologians of the Roman Church answer these questions in the affirmative, but from the 8th to the beginning of the 13th century they were fiercely agitated with the utmost divergence of opinion and practice.

The size of the angle between the median planes of two consecutive leaves in an alternate arrangement is their divergence; and it is expressed in fractions of the circumference of the axis which is supposed to be a circle.

If this arrangement is expressed by a fraction, the numerator of which indicates the number of turns, and the denominator the number of internodes in the spiral cycle, the fraction will be found to represent the angle of divergence of the consecutive leaves on the axis.

But the divergence between leaf and leaf 2 is equal to tths of the circumference, and the same is the case between 2 and 3, 3 and 4, &c. The divergence, then, is and from this we learn that, starting from any leaf on the axis, we must pass twice round the stem in a spiral through five leaves before reaching one directly over that with which we started.

The divergence appears when plates are substituted for sheets.

Any divergence or collapse of the gold-leaf can be viewed by a microscope through an aperture in the side of the case.

From the Protestant communities which were the outcome of the Reformation the divergence is more profound, though the central dogmas of the faith are common to Roman Catholics.

The effects of the area ratio, the divergence angle and the cross-section aspect ratio are taken into account.

Standard solutions are prepared by weighing out the exact amount of the pure substance and dissolving it in water, or by forming a solution of approximate normality, determining its exact strength by gravimetric or other means, and then correcting it for any divergence.

Lucius Junius Brutus, her husband's cousin, put himself at the head of the people, drove out the Tarquins, and established a republic. The accounts of this tradition in later writers present many points of divergence.

In May 1852 he was translated to Dublin, and soon a divergence of opinion broke out between him and the more ardent Nationalists under Archbishop MacHale.

This divergence is partly explained by the difference of soil - which in Drente comprises the maximum of waste lands, and in South Holland the minimum - and partly also by the greater facilities which the seaward provinces enjoy of earning a subsistence, and the greater variety of their industries.

The extreme divergence of the resulting values of the diffusivity, including eight independent series of measurements on different days, was less than I %.

Owing to the difficulty of measuring the gradient, the order of divergence of individual observations averaged 2 or 3%, but occasionally reached 5 or io %.

On account of the divergence of its style from that of the History of Armenia, Armenian scholars have hesitated to ascribe the Rhetoric to Moses of Khor`ni; but, from what has been said above, this is rather to be regarded as a proof of its authenticity.

The various schools of " readers " differed very widely from one another; although for the most part there was no important divergence as to the sense of words.

Within each class the flower-characters as the essential feature of Angiosperms supply the clue to phylogeny, but the uncertainty regarding the construction of the primitive angiospermous flower gives a fundamental point of divergence in attempts to construct progressive sequences of the families.

A fundamental divergence of principle, however, existed and was soon indicated by his speedy separation from the party and alienation from Mill himself.

A difference in calibre, elasticity or branching of a blood vessel, the smallest variation in a nerve or group of vessel-cells, any anatomical or physiological divergence, is reflected throughout the organism.

To this study he looked for the best hope of such a progressive development of Christian theology as should avert the danger arising from " the apparently increasing divergence between the intelligence and the faith of our time."

The lowest Gondwanas are very constant in character, wherever they are found; the upper members of the lower division show more variation, and this divergence of character in different districts becomes more marked in the Upper Gondwana series.

In this irreversible catena proceeding from ground to consequent, we have left far behind such things as the formal parity of genus and differentia considered as falling under the same predicable, 3 and hence justified in part Porphyry's divergence from the scheme of predicables.

Agreement in the use of a common watchword had masked as it seems a real divergence of meaning and purpose.

The invaluable tractate De Intellectus emendatione, in which the agreement with and divergence from Descartes on the question of method could have been fully elucidated, is unhappily not finished.

The comparison of Sigwart with Lotze is instructive, in regard both to their agreement and their divergence as showing the range of the epistemological formula.

In part because of historical circumstances, the divergence from the older systems is more marked in some Protestant churches than in others, yet on the The Reformation.

Moreover, in the early days of the Reformation the Catholic Church charged it with a lawless individualism, a charge which was seemingly made good by an extreme divergence in theological opinion and by riots in various parts of the Protestant world.

Leaves of aluminium foil may with advantage be substituted for gold-leaf, and a scale is sometimes added to indicate the angular divergence of the leaves.

Considering that the divergence of two alphabets (like the difference of two dialects) requires both time and familiar use, we may gather from these facts that writing was well known in Greece early in the 7th century B.e.2 The rise of prose composition in the 6th century B.C. has been thought to mark the time when memory was practically superseded by writing as a means of preserving literature - the earlier use of letters being confined to short documents, such as lists of names, treaties, laws, &c. This conclusion, however, is by no means necessary.

These are not, speaking generally, the differences that are produced by the gradual divergence of dialects in a language.

The amount of generic divergence exhibited by the members of this family is not great in the mass, but is of singular interest in detail.

In the case of the Old World, the divergence from the standard which most deserves notice is the remarkable preponderance of the young in all the countries of eastern Europe, as well as in India, accompanied by an equally notable deficiency of the older elements in the population.

On the continent of Europe, however, looking at the divergence in direction between the crude marriage-rate and that corrected to an age-basis, it is not improbable that the decline in the former may be attributable to some cause mentioned in connexion with the marriage-rate, and in the figures relating to some 30 years back some traces can be found of a connexion between a high birth-rate and a high proportion of young wives.

Southern leaders generally were now beginning to perceive, as Calhoun had already seen, that there was a permanent conflict between the North and the South, not only a divergence of interests between manufacturing and agricultural sections, but an inevitable struggle between free and slave labour.

On the other hand, the divergence in some cases between the square of the optical refractive index and the dielectric constant was very marked.

The insistence on the validity of personal experience leads Renouvier to a yet more important divergence from Kant in his treatment of volition.

Her increasing tendency towards socialism of the more revolutionary type occasioned a divergence between them after 1885, which was completed in 1889 by her adhesion to the Theosophical Society.

This divergence of views manifested itself on Christmas Day 1895, and although, under pressure, Rhodes did not insist on the British flag, it was determined to postpone the rising.

The change in the use of particles and the comparative rarity of the definite article form, together with the startling divergence in vocabulary, the chief ground of our perplexity" (Church Quarterly Review, 1903, pp. 428 seq.).

Accordingly Aristo, holding to Cynicism when Zeno himself had got beyond it, rejected two of these parts of philosophy as useless and out of reach - a divergence which excluded him from the school, but strictly consistent with his view that ethics alone is scientific knowledge.

Later on much evidence goes to show that (by a divergence from the orthodox standard perhaps due to Platonic influence) it was a Stoic tenet to concede a soul, though not a rational soul, throughout the animal kingdom.

Empoli is on the main railway line from Florence to Pisa, and is the point of divergence of a line to Siena.

The expression of his opinion on both these points of divergence from Darwin will be found in Darwinism (1889), a most valuable and lucid exposition of natural selection, as suited to the later period at which it appeared as the Essays were to the ealier.

Huxley acknowledged an immeasurable and practically infinite divergence, ending in the present enormous psychological gulf between ape and man.

These remains were,referred by their discoverer to an animal intermediate between man and ape, to which he gave the name of Pithecanthropus erectus, but the interesting discussions on the subject have shown divergence of opinion among anatomists.

However moralists may differ on first principles, there seems to be remarkably little practical divergence when they come to lay down the particular laws of morality.

During his absence from England Whitefield found that a divergence of doctrine from Calvinism had been introduced by Wesley; and notwithstanding Wesley's exhortations to brotherly kindness and forbearance he withdrew from the Wesleyan connexion.